Actuarial Notes

CAS Exam 5 Fall 2017, Question 19

Study guide: Exam 5

Given the following information as of December 31, 2016:

Cumulative Reported Claims ($000) as of (months)

Accident Year 12 24 36 48
2013 10,000 15,000 18,000 19,800
2014 11,000 16,500 19,800
2015 12,650 18,975
2016 14,500

Cumulative Paid Claims ($000) as of (months)

Accident Year 12 24 36 48
2013 4,000 10,000 15,000 18,000
2014 4,400 11,000 16,000
2015 4,840 12,100
2016 5,324

Reported Claims Development Technique Ultimate Claims ($000)

Accident Year Ultimate Claims ($000)
2013 20,790
2014 22,869

Part a (1 point)

Calculate the ultimate claims for accident years 2015 and 2016 as of December 31, 2016, using the reported claims development technique.

Part b (0.5 points)

Produce a diagnostic that shows an operational change in the insurer's history. Briefly describe a scenario that could result in the observed diagnostic.

Part c (0.75 points)

Briefly describe an issue that could arise for each of the following parties that relies on accurate unpaid claims estimates if unpaid claims are understated by the insurer.

i. Investors

ii. Regulators

iii. Internal management

Answer this question and see the worked solution

Concepts tested

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